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Two Kinds of Contact Problems in Dodecagonal Quasicrystals of Point Group 12 mm

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Abstract

In this paper, two kinds of contact problems in 2-D dodecagonal quasicrystals were discussed using the complex variable function method: one is the finite frictional contact problem, the other is the adhesive contact problem. The analytic expressions of contact stresses in the phonon and phason fields were obtained for a flat rigid punch, which showed that: (1) for the finite frictional contact problem, the contact stress exhibited power-type singularities at the edge of the contact zone; (2) for the adhesive contact problem, the contact stress exhibited oscillatory singularities at the edge of the contact zone. The distribution regulation of contact stress under punch was illustrated; and the low friction property of quasicrystals was verified graphically.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Ningxia University, 750021, Yin Chuan, China

    Xuefen Zhao, Xing Li & Shenghu Ding

  2. Xinhua College, Ningxia University, 750021, Yin Chuan, China

    Xuefen Zhao

Authors
  1. Xuefen Zhao
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  2. Xing Li
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  3. Shenghu Ding
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Correspondence to Xing Li.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11362018, 11261045 and 11261401), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20116401110002).

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Zhao, X., Li, X. & Ding, S. Two Kinds of Contact Problems in Dodecagonal Quasicrystals of Point Group 12 mm. Acta Mech. Solida Sin. 29, 167–177 (2016). https://doi.org/10.1016/S0894-9166(16)30105-7

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30105-7

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